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Finding the Fourth Proportional to 447.60, 617.28 and 322.80

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Solution

The fourth proportional to 447.60, 617.28 and 322.80 is: 445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.60 : 617.28 = 322.80 : x
  2. Step 2: Convert to fraction form
    447.60/617.28 = 322.80/x
  3. Step 3: Cross multiply
    447.60x = 617.28 × 322.80
  4. Step 4: Simplify right side
    447.60x = 199,257.98
  5. Step 5: Solve for x
    x = 199,257.98/447.60
  6. Step 6: Final answer
    x = 445.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.